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جامعة الملك فيصل عمادة التعلم الإلكتروني والتعليم عن بعد PowerPoint PPT Presentation


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اسم المقرر التحليل الإحصائي استاذ المقرر المحاضر/ محمد بن فهد الحنيف. جامعة الملك فيصل عمادة التعلم الإلكتروني والتعليم عن بعد. 1. المحاضرة الرابعة عشرة. اختبار الفروض الإحصائية اللامعلمية. الطرق الإحصائية اللامعلمية Nonparametric Methods.

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جامعة الملك فيصل عمادة التعلم الإلكتروني والتعليم عن بعد

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Nonparametric Methods

  • . :


  • . :


. .


()

.


. robust .


Some Examples of Nonparametric Methods


Mann Whitney U :

:

t .

.


n1 n2 1 2

:

:


:

H0 : 1 = 2

:

:

HA : 1 2

( ) :

:

Or HA : 1 < 2

Or HA : 1 > 2


Mann Whitney U

SPSS


:

:

(1) :

(2) :


:

: 5% .


: :

: (2) (3) .


: :

Analyze Nonparametric tests Independent Samples 2 :


:


Samples Test Variable List codes Grouping Variable Define Groups :


  • [Group 1 ] ( 2) [Group 2 ] ( 3)

  • Continue

  • Ok


: P.Value 0.648 5% .


Test : Wilcoxon

:

Sign rank T Pre test Post test .


1 2 ( ) .


( )

:

:


:

H0 : 1 = 2

:

:

H1 : A 2

( ) :

:

Or HA : 1 < 2

Or HA : 1 > 2


Test Wilcoxon

SPSS


:

:


:

Wilcoxon 5% .


: :

:


: :

Analyze Nonparametric tests Related Samples 2 :


before after ( ) Test Pair(s) List .

: . Ok :


:

=

: ( 4.93 ) (1.5) ( )


P.Value 0.021 5% .


Kruskal-Wallis Test :

:

:

k n1 n2. nk k 1 ,2 ,,k .


:

H0 : 1 = 2 = = k

:

H1 :


Kruskal-Wallis Test

SPSS


:

: :


:

- 5%


: :

( 1) (2) ( 3) :


: :

Analyze Nonparametric tests independent Samplesk :


  • samples Test Variable List codes Grouping Variable ( )


  • Define Groups :


  • Minimum (1) Maximum (3) Continue .

  • Ok :


P.Value 0.095 5%

.


( )

Test Hypothesis Using Chi-Square Distribution


.

.


.

:

t t ( =0) ( ) .


.


()

Testing of Independence

.

Chi-Square test of independency)) . () p-Value


.

Null hypothesis)): H0 .

: V1 V2 V1 V2 . :

H0: V1 is independent of V2


.

(Alternative hypothesis): HA : V1 V2 V1 V2 . :

HA: V1 is dependent on V2


(2)

Chi Squre-Test of Independence

SPSS


:

:

:


:


:

0.05 =


:

: ( )

: ( )

(Result) (Gender) (Result) ( 0= 1= 2= 3 4=) (Gender) ( 1= 2=)


:


Analyze Descriptive Statistics Cross tabs :


:


Result Rows Gender Columns .


Statistics :


Chi-Square Continue :


Cell :


Expected Continue .


Ok .

Cross tabulati :

:


:


72 37 ( 12 9.76 5 6.68 9 8.74 5 6.17 6 5.65 ) 35 ( 7 9.24 8 6.32 8 8.26 7 5.83 5 5.35)


:


2.437 4

0.656 Asymp. Sig. (2-sided) = 0.005 = .


Kolmogorov-Smirnov -Goodness of Fit Test :

:

30 . .


:

H0 : Fn(X) = F0(X)

HA : Fn(X) F0(X)

Fn(X) < F0(X)

Fn(X) > F0(X)


Kolmogorov-Smirnov -Goodness of Fit Test

SPSS


Dinner :


Analyze Non-Parametric Test 1-Sample K-S


:


Normal Poisson Uniform Exponential Ok :


15.26 6.782 0.573


:

0.898 Asymp. Sig. (2-tailed) = 0.05 = 15.26 6.782 (15.26,6.782 ) X : N

.




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